12056
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24840
- Proper Divisor Sum (Aliquot Sum)
- 12784
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5440
- Möbius Function
- 0
- Radical
- 3014
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 24
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Average of terms in n-th row of A077529.at n=15A077532
- Sum of numbers in n-th upward diagonal of triangle in A079826.at n=42A079825
- a(n) = 25*n^2 - 2*n.at n=21A154376
- a(n) = (9*n^4+10*n^3-3*n^2-4*n)/12.at n=11A172045
- Number of 4-step one or two space at a time bishop's tours on an n X n board summed over all starting positions.at n=8A187048
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209141; see the Formula section.at n=51A209142
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209745; see the Formula section.at n=48A209746
- a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 1] as of [2, 1, 3].at n=9A211286
- Numbers k such that 25*k+1 is a square.at n=43A219259
- Number of length 4 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=13A255719
- Numbers x such that x = Sum_{j=0..k}{d(x)^j}, for some k, where d(x) is the number of divisors of x.at n=39A263821
- p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = 1 - S^2 - S^3.at n=18A291736
- p-INVERT of (1,0,0,1,0,0,1,0,0,...), where p(S) = 1 - S^2 - S^3.at n=20A292321
- Expansion of Product_{k>=1} (1 + x^k)^(sigma_4(k)).at n=6A301548
- Figurate numbers based on the small stellated dodecahedron: a(n) = n*(21*n^2 - 33*n + 14)/2.at n=10A318159
- Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1 + x^j)^sigma_k(j).at n=61A321877